Class 10 Exam > Class 10 Questions > One of the roots of the quadratic equation 6x...
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One of the roots of the quadratic equation 6x2 – x – 2 = 0 is:
- a)-2/3
- b)-1/2
- c)1/2
- d)-1
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
One of the roots of the quadratic equation 6x2– x – 2 = 0 ...
Most Upvoted Answer
One of the roots of the quadratic equation 6x2– x – 2 = 0 ...
Since the equation is 6x²- x-2 ....Using splitting middle term, 6x²-4x+3x-2 then, 2x(3x-2)+1(3x-2)....(2x+1) (3x-2)..So the roots r : x =-1/2 & x =2/3...So answr b is right.
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One of the roots of the quadratic equation 6x2– x – 2 = 0 ...
Solution:
Given quadratic equation is 6x^2 + x - 2 = 0.
We need to find out one of the roots of the given equation.
We can solve the quadratic equation by using the quadratic formula.
Quadratic Formula:
For the quadratic equation ax^2 + bx + c = 0, the quadratic formula is given by
x = (-b ± √(b^2 - 4ac)) / (2a)
Here, a = 6, b = 1 and c = -2.
Substituting the values in the quadratic formula, we get
x = (-1 ± √(1^2 - 4(6)(-2))) / (2(6))
x = (-1 ± √(1 + 48)) / 12
x = (-1 ± √49) / 12
x = (-1 ± 7) / 12
Therefore, the roots of the quadratic equation are
x = (-1 + 7) / 12 = 6/12 = 1/2 and
x = (-1 - 7) / 12 = -8/12 = -2/3
Hence, one of the roots of the quadratic equation 6x^2 + x - 2 = 0 is -2/3.
Therefore, the correct option is (a) -2/3.
Given quadratic equation is 6x^2 + x - 2 = 0.
We need to find out one of the roots of the given equation.
We can solve the quadratic equation by using the quadratic formula.
Quadratic Formula:
For the quadratic equation ax^2 + bx + c = 0, the quadratic formula is given by
x = (-b ± √(b^2 - 4ac)) / (2a)
Here, a = 6, b = 1 and c = -2.
Substituting the values in the quadratic formula, we get
x = (-1 ± √(1^2 - 4(6)(-2))) / (2(6))
x = (-1 ± √(1 + 48)) / 12
x = (-1 ± √49) / 12
x = (-1 ± 7) / 12
Therefore, the roots of the quadratic equation are
x = (-1 + 7) / 12 = 6/12 = 1/2 and
x = (-1 - 7) / 12 = -8/12 = -2/3
Hence, one of the roots of the quadratic equation 6x^2 + x - 2 = 0 is -2/3.
Therefore, the correct option is (a) -2/3.
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One of the roots of the quadratic equation 6x2– x – 2 = 0 is:a)-2/3b)-1/2c)1/2d)-1Correct answer is option 'B'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about One of the roots of the quadratic equation 6x2– x – 2 = 0 is:a)-2/3b)-1/2c)1/2d)-1Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for One of the roots of the quadratic equation 6x2– x – 2 = 0 is:a)-2/3b)-1/2c)1/2d)-1Correct answer is option 'B'. Can you explain this answer?.
One of the roots of the quadratic equation 6x2– x – 2 = 0 is:a)-2/3b)-1/2c)1/2d)-1Correct answer is option 'B'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about One of the roots of the quadratic equation 6x2– x – 2 = 0 is:a)-2/3b)-1/2c)1/2d)-1Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for One of the roots of the quadratic equation 6x2– x – 2 = 0 is:a)-2/3b)-1/2c)1/2d)-1Correct answer is option 'B'. Can you explain this answer?.
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